Approximate coherent states for nonlinear systems
arXiv:1503.04151 · doi:10.1016/bs.aiq.2015.02.006
Abstract
On the basis of the f-deformed oscillator formalism, we propose to construct nonlinear coherent states for Hamiltonian systems having linear and quadratic terms in the the number operator by means of the two following definitions: i) as deformed annihilation operator coherent states (AOCS) and ii) as deformed displacement operator coherent states (DOCS). For the particular cases of the Morse and Modified Pöschl-Teller potentials, modeled as f-deformed oscillators (both supporting a finite number of bound states), the properties of their corresponding nonlinear coherent states, viewed as DOCS, are analyzed in terms of their occupation number distribution, their evolution on phase space, and their uncertainty relations.
22 pages, 7 figures
References in corpus (4)
- Photon added nonlinear coherent states for a one mode field in a Kerr medium
- Ladder operators and coherent states for the trigonometric Pöschl-Teller potential
- Morse-like squeezed coherent states and some of their properties
- Phase space picture of Morse-like coherent states based upon the Wigner function